Starting at point A, a ship sails 18.5 km on a bearing of 189°, then turns, and sails 47.8 km on a bearing of 317°. Find the distance of the ship from point A. (Lial, Hornsby, & Schneider, 2009) 2.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Use the Law of Cosines in solving the following word problems. Basic diagrams are provided as guide.
Round off your answers to the nearest tenth.
A luxurious yacht leaves the Port of Manila, cruises 10 miles, then turns 20°
clockwise. The yacht then cruises another 8 miles and stops at the middle of
Manila Bay. There is a party going on in the yacht. A notorious social climber
desperately wants to attend the party. Unfortunately, caught in Manila traffic,
she arrives at the port late and sees that the yacht is already out in the sea.
She immediately looks for transport to bring her to the yacht but the only craft
available for hire is a non-motorized banca, and she wastes no time hiring it.
Find the distance the banca of the social climber has to navigate from the port
1.
to the yacht.
Starting at point A, a ship sails 18.5 km on a bearing of 189°, then turns, and
sails 47.8 km on a bearing of 317°. Find the distance of the ship from point A.
(Lial, Hornsby, & Schneider, 2009)
The sides of a parallelogram are 5.0 dm and 7.0 dm. One angle measures 56°
3.
Find a) the lengths of the diagonals, and b) the area of the parallelogram.
A parallelogram has sides of length 25.8 cm and 33.4 cm. The longer diagonal
has length 58.2 cm. Find the angles of the parallelogram.
B
A geodetic engineering student wants to find the length of a building complex
from one side (point A) to the other (point B). He stands outside the building
5.
complex (at point C), where he is 50 ft. from point A and 250 ft. from point
A.
B. The angle at C is 94°. Find the length of the complex.
The diagram shows a vertical flagpole XW standing on a horizontal ground,
with W, Y, and Z as points on the ground. Calculate the angle of elevation of
the flag (X) from Z given XZ =9.5 m, Y Z=6 m, and XY = 15 m.
6.
WY
1:45 PM
06/05/2022
2.
4.
Transcribed Image Text:of 9 Use the Law of Cosines in solving the following word problems. Basic diagrams are provided as guide. Round off your answers to the nearest tenth. A luxurious yacht leaves the Port of Manila, cruises 10 miles, then turns 20° clockwise. The yacht then cruises another 8 miles and stops at the middle of Manila Bay. There is a party going on in the yacht. A notorious social climber desperately wants to attend the party. Unfortunately, caught in Manila traffic, she arrives at the port late and sees that the yacht is already out in the sea. She immediately looks for transport to bring her to the yacht but the only craft available for hire is a non-motorized banca, and she wastes no time hiring it. Find the distance the banca of the social climber has to navigate from the port 1. to the yacht. Starting at point A, a ship sails 18.5 km on a bearing of 189°, then turns, and sails 47.8 km on a bearing of 317°. Find the distance of the ship from point A. (Lial, Hornsby, & Schneider, 2009) The sides of a parallelogram are 5.0 dm and 7.0 dm. One angle measures 56° 3. Find a) the lengths of the diagonals, and b) the area of the parallelogram. A parallelogram has sides of length 25.8 cm and 33.4 cm. The longer diagonal has length 58.2 cm. Find the angles of the parallelogram. B A geodetic engineering student wants to find the length of a building complex from one side (point A) to the other (point B). He stands outside the building 5. complex (at point C), where he is 50 ft. from point A and 250 ft. from point A. B. The angle at C is 94°. Find the length of the complex. The diagram shows a vertical flagpole XW standing on a horizontal ground, with W, Y, and Z as points on the ground. Calculate the angle of elevation of the flag (X) from Z given XZ =9.5 m, Y Z=6 m, and XY = 15 m. 6. WY 1:45 PM 06/05/2022 2. 4.
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